M. Dusautoy et F. Grunewald, ZETA-FUNCTIONS OF CLASSICAL-GROUPS AND THEIR FRIENDLY GHOSTS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(1), 1998, pp. 1-6
The zeta functions of the classical reductive groups in general have n
atural boundaries. We introduce in this Note the concept of the ghost
zeta function which exists for any zeta function expressed as an Euler
product of uniformly rational functions. We give an explicit descript
ion of the host zeta functions for the classical groups and prove that
they are meromorphic functions. (C) Academie des Sciences/Elsevier, P
aris.